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Finding the Fourth Proportional to 5,549.38, 7,658.14 and 3,065.54

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Solution

The fourth proportional to 5,549.38, 7,658.14 and 3,065.54 is: 4,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.38 : 7,658.14 = 3,065.54 : x
  2. Step 2: Convert to fraction form
    5,549.38/7,658.14 = 3,065.54/x
  3. Step 3: Cross multiply
    5,549.38x = 7,658.14 × 3,065.54
  4. Step 4: Simplify right side
    5,549.38x = 23,476,296.20
  5. Step 5: Solve for x
    x = 23,476,296.20/5,549.38
  6. Step 6: Final answer
    x = 4,230.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.